The Remainder as One Bounded Object
Year: 2026
Type: preprint
Abstract: All-Fields programme paper (All-Fields Run, Batch 18 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. The particle audit's itemization is complete: the remainder of the two-loop and three-loop running stands in four objects, each a named list — the two-loop Yukawa matrix at generation resolution, the three-loop gauge matrix, the per-flavour splits of the gauge betas' Yukawa coefficients, and the quartic row entire. The census that opened the audit set a parametric bound for any further term of this class: a single term, taken at the largest coefficient scale the structure shows and the largest coupling on the run, displaces an inverse coupling by at most 0.025 over the whole integration, even if it never cancels. Every later arm asserted that figure for its own object entire, as if the object were one term, and the combined size of the four objects was never graded. This paper executes that grading. It counts the coefficients no available source fixes, list by list, from the benches' own structures: 81, 11, 60 and 399, for a class of 551. Multiplied by the census figure, recomputed from the census's own formula, the class's total possible displacement is at most 13.9943 in inverse al
Author: Aldred, William Alexander
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225617207
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